4114014216 has 256 divisors, whose sum is σ = 12265881600. Its totient is φ = 1138406400.

The previous prime is 4114014193. The next prime is 4114014227. The reversal of 4114014216 is 6124104114.

It is a super-2 number, since 2×4114014216² = 33850225938900189312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11209665 + ... + 11210031.

It is an arithmetic number, because the mean of its divisors is an integer number (47913600).

Almost surely, 2^4114014216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114014216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132940800).

4114014216 is an abundant number, since it is smaller than the sum of its proper divisors (8151867384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4114014216 is a wasteful number, since it uses less digits than its factorization.

4114014216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4114014216 is about 64140.5816624701. The cubic root of 4114014216 is about 1602.3421707662.

The spelling of 4114014216 in words is "four billion, one hundred fourteen million, fourteen thousand, two hundred sixteen".